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Finding the Fourth Proportional to 100.84, 150.27 and 95.44

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Solution

The fourth proportional to 100.84, 150.27 and 95.44 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 150.27 = 95.44 : x
  2. Step 2: Convert to fraction form
    100.84/150.27 = 95.44/x
  3. Step 3: Cross multiply
    100.84x = 150.27 × 95.44
  4. Step 4: Simplify right side
    100.84x = 14,341.77
  5. Step 5: Solve for x
    x = 14,341.77/100.84
  6. Step 6: Final answer
    x = 142.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.